What is the Least Common Multiple of 44908 and 44917?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 44908 and 44917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44908 and 44917, than apply into the LCM equation.

GCF(44908,44917) = 1
LCM(44908,44917) = ( 44908 × 44917) / 1
LCM(44908,44917) = 2017132636 / 1
LCM(44908,44917) = 2017132636

Least Common Multiple (LCM) of 44908 and 44917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44908 and 44917. First we will calculate the prime factors of 44908 and 44917.

Prime Factorization of 44908

Prime Factorization of 44917

Now multiplying the highest exponent prime factors to calculate the LCM of 44908 and 44917.

LCM(44908,44917) = 2² × 103¹ × 109¹ × 44917¹
LCM(44908,44917) = 2017132636